The image contains three statistical questions about choosing the best measure (mean, median, or mode) to describe data in different scenarios. Here's the solution for each question:

(a) The readers of a children's magazine are asked to name their favorite animals.

Which measure indicates the animal chosen most often?

• Answer: Mode.
  The mode identifies the most frequently occurring value, which is ideal for categorical data like "favorite animals."

(b) A car dealer has used cars for sale for the following amounts:

$3400, $3500, $3700, $3800, $3900, $4200, $4300, $4400, $4500.
Which measure should be used to summarize the data?

• Answer: Median.
  The median is less affected by extreme values (outliers). In this case, there is a range of prices that could skew the mean, making the median a better representation of the central tendency.

(c) In the past 9 days, Felipe has received the following numbers of email advertisements per day:

40, 41, 42, 43, 46, 48, 49, 51, 85.
Which measure should be used to summarize the data?

• Answer: Median.
  The data has an outlier (85), which could distort the mean. The median is more robust against outliers and gives a better central measure for this dataset.

Would you like a detailed explanation of any of these answers or assistance with further questions? 😊

Related Questions:

1. What are the differences between mean, median, and mode?
2. Why is the median preferred over the mean in datasets with outliers?
3. How can outliers affect the interpretation of data?
4. When is mode the most appropriate measure of central tendency?
5. Can the mean and median ever have the same value in a dataset? If so, when?

Tip:

When dealing with numerical data, always check for outliers or skewness before choosing the best measure of central tendency!